(2^2)^(5-9x) = 1/(2^3)^(x-2)

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(2^2)^(5-9x) = 1/(2^3)^(x-2)

Guest May 31, 2015

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Best Answer

+23246

+5

(2²) ⁽^{5 - 9x)} = 2^{10 - 18x}

(2³)^{(x - 2)} = 2^{3x - 6}

1 / (2³)^{(x - 2)} = 1 / 2^{3x - 6} = (2^{3x - 6})^-1 = 2^{-3x + 6}

2^{10 - 18x} = 2^{-3x + 6}

---> 10 - 18x = -3x + 6

- 15x = -4

x = 4/15

geno3141 Jun 1, 2015

1⁺⁰ Answers

+23246

+5

Best Answer

(2²) ⁽^{5 - 9x)} = 2^{10 - 18x}

(2³)^{(x - 2)} = 2^{3x - 6}

1 / (2³)^{(x - 2)} = 1 / 2^{3x - 6} = (2^{3x - 6})^-1 = 2^{-3x + 6}

2^{10 - 18x} = 2^{-3x + 6}

---> 10 - 18x = -3x + 6

- 15x = -4

x = 4/15

geno3141 Jun 1, 2015

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